Properties

Label 12.8-4.0.2-2-4-4-4-4-4.2
Genus \(12\)
Quotient genus \(0\)
Group \(Q_8\)
Signature \([ 0; 2, 2, 4, 4, 4, 4, 4 ]\)
Generating Vectors \(4\)

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Family Information

Genus: $12$
Quotient genus: $0$
Group name: $Q_8$
Group identifier: $[8,4]$
Signature: $[ 0; 2, 2, 4, 4, 4, 4, 4 ]$
Conjugacy classes for this refined passport: $2, 2, 3, 4, 4, 4, 5$

Jacobian variety group algebra decomposition:$E\times E\times A_{10}$
Corresponding character(s): $3, 4, 5$

Other Data

Hyperelliptic curve(s):no
Cyclic trigonal curve(s):no

Generating vector(s)

Displaying 4 of 4 generating vectors for this refined passport.

12.8-4.0.2-2-4-4-4-4-4.2.1

  (1,2) (3,4) (5,6) (7,8)
  (1,2) (3,4) (5,6) (7,8)
  (1,3,2,4) (5,7,6,8)
  (1,5,2,6) (3,8,4,7)
  (1,5,2,6) (3,8,4,7)
  (1,5,2,6) (3,8,4,7)
  (1,8,2,7) (3,6,4,5)

12.8-4.0.2-2-4-4-4-4-4.2.2
  (1,2) (3,4) (5,6) (7,8)
  (1,2) (3,4) (5,6) (7,8)
  (1,3,2,4) (5,7,6,8)
  (1,5,2,6) (3,8,4,7)
  (1,5,2,6) (3,8,4,7)
  (1,6,2,5) (3,7,4,8)
  (1,7,2,8) (3,5,4,6)

12.8-4.0.2-2-4-4-4-4-4.2.3
  (1,2) (3,4) (5,6) (7,8)
  (1,2) (3,4) (5,6) (7,8)
  (1,3,2,4) (5,7,6,8)
  (1,5,2,6) (3,8,4,7)
  (1,6,2,5) (3,7,4,8)
  (1,5,2,6) (3,8,4,7)
  (1,7,2,8) (3,5,4,6)

12.8-4.0.2-2-4-4-4-4-4.2.4
  (1,2) (3,4) (5,6) (7,8)
  (1,2) (3,4) (5,6) (7,8)
  (1,3,2,4) (5,7,6,8)
  (1,5,2,6) (3,8,4,7)
  (1,6,2,5) (3,7,4,8)
  (1,6,2,5) (3,7,4,8)
  (1,8,2,7) (3,6,4,5)

Display number of generating vectors: